Write linear equations from tables by identifying the rate of change and the initial value.

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Presentation transcript:

Write linear equations from tables by identifying the rate of change and the initial value

Linear equations can be used to show relationships between data

Linear equations can be used to show relationships between data and to make predictions

Rate of Change Also called slope

Rate of Change Also called slope

Rate of Change Also called slope

Rate of Change In linear functions, this change is constant.

Slope: Change in y Change in x

y-intercept Also called “initial value”

xyRate of Change

xyRate of Change

xyRate of Change

xyRate of Change

xyRate of Change

xyRate of Change

xyRate of Change

xyRate of Change

xyRate of Change

xyRate of Change

xyRate of Change

xyRate of Change

A candle is 6 inches tall after burning for 1 hour. After burning for 3 hours, it is 5 inches tall. After burning for 4 hours it is 4½ inches tall. Find the initial height, and write an equation to model the situation.

X Number of hours Y Height in inches Rate of Change ½

X Number of hours Y Height in inches Rate of Change ½

X Number of hours Y Height in inches Rate of Change ½

X Number of hours Y Height in inches Rate of Change ½

X Number of hours Y Height in inches Rate of Change ½

Write linear equations from tables by identifying the rate of change and the initial value